Greatest Common Factor of 137/36, 6981/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 137/36, 6981/774

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 137/36,6981/774

Given fractions are 137/36,6981/774

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 137,6981

Greatest Common Factor of Numerators i.e. GCF of 137,6981 is 1 .

LCM of Denominators means LCM of 36,774 as per the given fractions.

LCM of 36,774 is 1548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 137,6981

GCF of Fractions 137/36,6981/774 is 1/1548

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 137,6981 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,6981 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 6981

List of positive integer factors of 6981 that divides 6981 without a remainder.

1,3,13,39,179,537,2327,6981

Greatest Common Factor

We found the factors 137,6981 . The biggest common factor number is the GCF number.
So the greatest common factor 137,6981 is 1.

Lets's calculate LCM of 36,774

2 36, 774
3 18, 387
3 6, 129
2, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 43 = 1548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1548

Therefore, the GCF of Fractions 137/36,6981/774 is 1/1548

Least Common Multiple of 36,774 with GCF Formula

Least Common Multiple of 36,774 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 36,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,774) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(36,774) x common factors =18 x 1 = 18

LCM(36,774) = ( 36 × 774 ) / 18

LCM(36,774) = 27864 / 18

LCM(36,774) = 1548


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 137/36, 6981/774

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 137/36, 6981/774?

Answer: GCF of Numerators as per given numbers 137/36, 6981/774 is

GCF of Numerators i.e. for 137,6981 is 1

LCM of denominators i.e. for 36,774 is 1548.

Thus, GCF of Fractions is 1/1548.Finally, GCF of Fractions for 137/36, 6981/774 is 1/1548.